Base | Representation |
---|---|
bin | 111100010101000… |
… | …1000111001110000 |
3 | 12020002002201121112 |
4 | 1320222020321300 |
5 | 13121210444212 |
6 | 532512012452 |
7 | 101110241342 |
oct | 17052107160 |
9 | 5202081545 |
10 | 2024312432 |
11 | 94974298a |
12 | 485b31128 |
13 | 26350a60c |
14 | 152bc7292 |
15 | bcab6422 |
hex | 78a88e70 |
2024312432 has 80 divisors (see below), whose sum is σ = 4178304000. Its totient is φ = 948110592.
The previous prime is 2024312359. The next prime is 2024312441. The reversal of 2024312432 is 2342134202.
It is a Harshad number since it is a multiple of its sum of digits (23).
It is a junction number, because it is equal to n+sod(n) for n = 2024312398 and 2024312407.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5203694 + ... + 5204082.
It is an arithmetic number, because the mean of its divisors is an integer number (52228800).
Almost surely, 22024312432 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 2024312432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2089152000).
2024312432 is an abundant number, since it is smaller than the sum of its proper divisors (2153991568).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2024312432 is a wasteful number, since it uses less digits than its factorization.
2024312432 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 678 (or 672 counting only the distinct ones).
The product of its (nonzero) digits is 2304, while the sum is 23.
The square root of 2024312432 is about 44992.3597069547. The cubic root of 2024312432 is about 1265.0057922839.
Adding to 2024312432 its reverse (2342134202), we get a palindrome (4366446634).
The spelling of 2024312432 in words is "two billion, twenty-four million, three hundred twelve thousand, four hundred thirty-two".
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